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3 years ago

Which of the following is equivalent to x/x^2-1 + 4/x^2-6x-7?

Mathematics

1 answer:

kkurt [141]3 years ago

7 0

Answer:

x(x-7)+4(x-1)/(x-1)(x+1)(x-7)

Step-by-step explanation:

Given the expression x/x²-1 + 4/x²-6x-7

Factorize x²-6x-7

x²-6x-7

= x²-7x+x-7

= x(x-7)+1(x-7)

= (x+1)(x-7)

Replace back into the expression given

x/x²-1 + 4/x²-6x-7

= x/x²-1 + 4/ (x+1)(x-7)

= x/(x+1)(x-1) + 4/(x+1)(x-7)

Find the LCM

= x(x-7)+4(x-1)/(x-1)(x+1)(x-7)

This gives the required expression

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First Bank of Springdale operates a one-lane drive-in ATM machine. Cars arrive according to a Poisson distribution at the rate o

victus00 [196]

Answer:

a) 0.19

b) 0.9689

c) ≈ 6 cars

Step-by-step explanation:

Rate at which cars arrive = 12 cars/hour = 1/5 cars/minute

time needed by each car to complete ATM transaction = 6 minutes = 1/6 car/minute

capacity of lane = 10 car

n = 10

<u>a) Calculate the probability of an arriving not using the ATM because the line is full</u>

p ( not using the ATM ) = 0.19

<u>b) probability that a car will not be able to use the ATM machine immediately on arrival</u>

P ( n > 0 ) = 1 - Po

= 1 - 0.0311 = 0.9689

<u>c) Average number of cars in the lane </u>

Lq = 5.74 ≈ 6 cars

attached below is the detailed solution

4 0

3 years ago

Identify the coefficient in the expression 7y + 8.

Anit [1.1K]

Answer:

Step-by-step explanation:

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

5 0

3 years ago

Read 2 more answers

15+9=?(5+3) please help

Tema [17]

Answer:

because 15 + 9 = 24

and 3(5 + 3) which is 3 * 5 + 3 * 3 = 15 + 9 = 24

= 24 = 24

Step-by-step explanation:

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3 0

4 years ago

Type the correct answer in the box. assume π = 3.14. and round your answer to the nearest hundredth. at the rate of $2.00 per sq

spin [16.1K]

The cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

<h3>How to find the area of the composite figures?</h3>

To find area of the composite figures,

Separate the figure.
Calculate the are of the each figure by which the composite figure is made of.
Add the area of all the individual figures to get the total area of composite figures.

The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,

$A_r=3\times4\\A_r=12\rm \;ft^2$

The radius of the semicircle is 1.5 m. The area of the semicircle is,

$A_{sc}=\dfrac{1}{2}\pi\times(1.5)^2\\A_{sc}=\dfrac{1}{2}(3.14)\times(1.5)^2\\A_{sc}=3.5325\rm\; ft^2$

The area of the composite figure is,

$A=12+3.5325\\A=15.5325\rm\;ft^2\\$

The rate of painting is $2.00 per square foot. Thus the cost to paint the figure is,

$A=15.5325\times2\\A=31.065$

Hence, the cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

Learn more about the area of composite figures here;

brainly.com/question/15981553

8 0

3 years ago

Tom's father gave Tom $100 for lunch at school. After 10 days,

galina1969 [7]

Answer:

He spent 10 dollars

Step-by-step explanation:

Because, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

And that's 10 days, so he spent 10 dollars for everyday. hope that helps!

Sorry if its wrong.

5 0

3 years ago